Semiorthogonal spline wavelets approximation for fredholm integro-differential equations

被引：66
|
作者：
Lakestani, M. [1 ]
Razzaghi, M.
Dehghan, M.
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Tehran 15914, Iran
[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2006年 / 2006卷
关键词：
D O I：
10.1155/MPE/2006/96184
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A method for solving the nonlinear second-order Fredholm integro-differential equations is presented. The approach is based on a compactly supported linear semiorthogonal B-spline wavelets. The operational matrices of derivative for B-spline scaling functions and wavelets are presented and utilized to reduce the solution of Fredholm integrodifferential to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
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页码：1 / 12
页数：12
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